{"id":"https://openalex.org/W2144133578","doi":"https://doi.org/10.1109/isit.2009.5205582","title":"Interference alignment and the generalized degrees of freedom of the X channel","display_name":"Interference alignment and the generalized degrees of freedom of the X channel","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2144133578","doi":"https://doi.org/10.1109/isit.2009.5205582","mag":"2144133578"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205582","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205582","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023187643","display_name":"Chia-Chi Huang","orcid":"https://orcid.org/0000-0001-8806-3302"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chiachi Huang","raw_affiliation_strings":["Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA","Electrical Engineering and Computer Science, University of California, Irvine, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California, Irvine, USA#TAB#","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008627075","display_name":"Viveck R. Cadambe","orcid":"https://orcid.org/0000-0001-6786-8785"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Viveck R. Cadambe","raw_affiliation_strings":["Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA","Electrical Engineering and Computer Science, University of California, Irvine, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California, Irvine, USA#TAB#","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049553679","display_name":"Syed A. Jafar","orcid":"https://orcid.org/0000-0003-2038-2977"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Syed A. Jafar","raw_affiliation_strings":["Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA","Electrical Engineering and Computer Science, University of California, Irvine, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California, Irvine, USA#TAB#","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023187643"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":4.4861,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.9475508,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1929","last_page":"1933"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10069","display_name":"Antenna Design and Analysis","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.7734935283660889},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.7362711429595947},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.6961689591407776},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6886150240898132},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.6671402454376221},{"id":"https://openalex.org/keywords/interference-alignment","display_name":"Interference alignment","score":0.5616217255592346},{"id":"https://openalex.org/keywords/co-channel-interference","display_name":"Co-channel interference","score":0.5447500944137573},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.5185109376907349},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5059790015220642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4731368124485016},{"id":"https://openalex.org/keywords/adjacent-channel-interference","display_name":"Adjacent-channel interference","score":0.46288296580314636},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.41585785150527954},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.41105523705482483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3888040781021118},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3761519491672516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2810516953468323},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.19820600748062134},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19312047958374023},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1669205129146576}],"concepts":[{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.7734935283660889},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.7362711429595947},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.6961689591407776},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6886150240898132},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.6671402454376221},{"id":"https://openalex.org/C2982854036","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference alignment","level":4,"score":0.5616217255592346},{"id":"https://openalex.org/C6532628","wikidata":"https://www.wikidata.org/wiki/Q5137431","display_name":"Co-channel interference","level":4,"score":0.5447500944137573},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5185109376907349},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5059790015220642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4731368124485016},{"id":"https://openalex.org/C134222854","wikidata":"https://www.wikidata.org/wiki/Q4683140","display_name":"Adjacent-channel interference","level":4,"score":0.46288296580314636},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.41585785150527954},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41105523705482483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3888040781021118},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3761519491672516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2810516953468323},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.19820600748062134},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19312047958374023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1669205129146576},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2009.5205582","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205582","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1511037116","https://openalex.org/W1802395297","https://openalex.org/W2087258384","https://openalex.org/W2106549261","https://openalex.org/W2108016639","https://openalex.org/W2108129127","https://openalex.org/W2124689643","https://openalex.org/W2129771846","https://openalex.org/W2136608712","https://openalex.org/W2157989362","https://openalex.org/W2168957483","https://openalex.org/W2950994130","https://openalex.org/W6630506467","https://openalex.org/W6638211556"],"related_works":["https://openalex.org/W2963438473","https://openalex.org/W4300895095","https://openalex.org/W2037307649","https://openalex.org/W2171681635","https://openalex.org/W2556113510","https://openalex.org/W2018974756","https://openalex.org/W2004204067","https://openalex.org/W2266996797","https://openalex.org/W3102043687","https://openalex.org/W2120365147"],"abstract_inverted_index":{"We":[0,32],"study":[1],"the":[2,6,11,34,46,53,59,63,82],"sum":[3,35],"capacity":[4,36],"of":[5,10,37,41,49,81],"X":[7,18,60],"channel":[8,61,66],"generalization":[9],"symmetric":[12],"2-user":[13],"interference":[14,65,73],"channel.":[15],"In":[16],"this":[17,42,91],"channel,":[19,43],"there":[20],"are":[21],"4":[22],"independent":[23],"messages,":[24],"one":[25],"from":[26],"each":[27,30],"transmitter":[28],"to":[29,87],"receiver.":[31],"characterize":[33],"a":[38,78],"deterministic":[39],"version":[40],"and":[44,70],"obtain":[45],"generalized":[47],"degrees":[48],"freedom":[50],"characterization":[51],"for":[52],"Gaussian":[54],"version.":[55],"The":[56],"regime":[57],"where":[58],"outperforms":[62],"underlying":[64],"is":[67,85],"explicitly":[68],"identified,":[69],"an":[71],"interesting":[72],"alignment":[74],"scheme":[75],"based":[76],"on":[77],"cyclic":[79],"decomposition":[80],"signal":[83],"space":[84],"shown":[86],"be":[88],"optimal":[89],"in":[90],"regime.":[92]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}